x=4
y=2
solve the equations together to get value of x and y
Answer:
The value are
x=4
y=2
Step-by-step explanation:
x+y=6 1
x-y=2 2
Using Substitution Method
From equation 2
x=y+2 3
input equation 3 into equation 1
(y+2)+y=6
y+y+2=6
2y+2=6
2y=6-2
2y=4
divide both sides by 2
2y/2=4/2
y=2
input into equation 3
x=y+2
x=2+2
x=4
a basketball player claims to make 47% of her shots from the field. you want to simulate the player taking sets of 10 shots, assuming that her claim is true. suppose this player attempts 10 shots in a game and
Using simulation and Technics E and R,
he correct answer is option (b) and option (e).Use random two-digit numbers, where are a make and are a miss.
Simulation:
Simulation is a method of modeling random events so that the simulated results closely resemble the actual results. By observing simulated results, researchers gain insight into the real world.
Describe possible outcomes.Associates each result with one or more random numbers.Please select a random number source.Please select a random number. Note the "simulated" results, based onrandom numbers.
Repeat steps 4 and 5 several times. Preferably until the results show a stable pattern.Analyze simulated results and report results.We have been given that a basketball player claims to make 47% of her shots from the field.
Total number of shots in set taking by player = 10
let consider two events
A: She makes the shot
B: She miss the slot
Probability that she makes the slot , P(A) = 47%
= 0.47
Probability that she miss the slot , P(A) = 1 - 47%
= 57% = 0.53
Use TRD,
make slot = 00-46 and miss slot= 47-99
One trial = 10 shots
now, the possible options which may be right are option b and e .
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Complete question:
Select the best answer.
A basketball player claims to make 47% of her shots from the field. We want to simulate the player taking sets of 10 shots, assuming that her claim is true. To simulate the number of makes in 10 shot attempts, you would perform the simulation as follows:
(a) Use 10 random one-digit numbers, where 0-4 are a make and 5-9 are a miss.
(b) Use 10 random two-digit numbers, where 00-46 are a make and 47-99 are a miss.
(c) Use 10 random two-digit numbers, where 00-47 are a make and 48-99 are a miss.
(d) Use 47 random one-digit numbers, where 0 is a make and 1-9 are a miss.
(e) Use 47 random two-digit numbers, where 00-46 are a make and 47-99 are a miss.
Solve 8y - 9 = -3y + 2
Answer:
y=1
Step-by-step explanation:
8y-9=-3y+2
-2
8y-11=-3y
-8y
-11=-11y/-11
Answer:
y=1
Step-by-step explanation:
8y+3y=2+9
11y/11=11/11
y=1
Pls help and explain tyyy
Answer:
11) 195312
13) 5461
Step-by-step explanation:
11)
15÷(-3) = -5
(-75)÷15 = -5
375÷(-75) = -5
It’s clear that the common ratio of this geometric sequence is -5
Then using the sum formula for geometric sequences :
\(S_{11}=\left( -3\right) \times \frac{1-\left(-5 \right)^{8} }{1-(-5)} =-\frac{1}{2}\times(1-(-5)^8)=195312\)
……………………………………………………
13)
\(S_{13}=1\times \frac{1-4^{7}}{1-4} =-\frac{1}{3} \times(1-4^{7})=5461\)
what will be the value of k so that the equation \(kx^{2} -4x+1\) has two equal roots (same roots)
The value of k that will make the quadratic equation kx² - 4x + 1 = 0 to have two equal roots is; k = 4
What are the roots of the Quadratic Equation?The general form of representing a quadratic equation is;
ax² + bx + c = 0
Now, we are given the quadratic equation which is;
kx² - 4x + 1 = 0
Now, for a quadratic equation to have 2 equal roots, it means that;
b² = 4ac
Thus, applying that to our given quadratic equation gives us;
(-4)² = 4(k * 1)
4k = 16
k = 4
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The graph shows the relationship between the number
of cups of flour and the number of cups of sugar in
Angela's brownie recipe.
The table shows the same relationship for Jaleel's
brownie recipe.
Jaleel and Angela buy a 12-cup bag of sugar and divide
it evenly to make their recipes.
If they each use ALL of their sugar, how much FLOUR
do they each need?
Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The graph shows the relationship between the number of cups of flour and the number of cups of sugar in Angela's brownie recipe.
And, The table shows the same relationship for Jaleel's brownie recipe.
Hence, The equation for Angela's brownie recipe is,
Two points on graph are (4, 2) and (2, 1)
⇒ y - 2 = (2 - 1)/ (4 - 2) (x - 4)
⇒ y - 2 = 1/2 (x - 4)
⇒ y - 2 = 1/2x - 2
⇒ y = 1/2x
And, The equation for Jaleel's brownie recipe is,
Two points on graph are (3/2, 1) and (3, 2)
⇒ y - 1 = (2 - 1)/ (3 - 3/2) (x - 4)
⇒ y - 1 = 2/3 (x - 4)
⇒ y - 1 = 2/3x - 8/3
⇒ y = 2/3x - 8/3 + 1
⇒ y = 2/3x - 5/3
So, For Jaleel and Angela buy a 12-cup bag of sugar.
The equation for Angela's brownie recipe is,
⇒ y = 1/2x
⇒ y = 1/2 × 12
⇒ y = 6
The equation for Jaleel's brownie recipe is,
⇒ y = 2/3x - 5/3
⇒ y = 2/3 × 12 - 5/3
⇒ y = 19/3
Thus, Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.
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Question 4, please help
4/10
The true statements about the proportional relation are A and C.
Which statements are true about the line?Here we can see the graph of a proportional relation (because it passes through the origin), so we can write it as:
y = k*x
Where k is a constant and represents the cost of each gallon.
We can see the point (7, 21), replacing these values we will get:
21 = k*7
21/7 = k
3 = k
Then the proportional relation is:
y = 3*x
Then the cost is $3, the first statement is true.
And the statement C is also true, (0, 0) means no gas was purchased.
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Axline computers manufactures personal computers at two plants, one in texas and the other in hawaii. the texas plant has 40 employees; the hawaii plant has 20. a random sample of 10 employees is being asked to fill out a benefits questionnaire. what is the probability that at least one of the employees works at the plant in texas?
The probability that at least one of the employees works at the plant in Texas is 0.993.
Given information:A company, Axline computers, manufactures personal computers at two plants.One plant is located in Texas and the other in Hawaii.The Texas plant has 40 employees, and the Hawaii plant has 20 employees.A random sample of 10 employees is being asked to fill out a benefits questionnaire.Find the probability that at least one of the employees works at the plant in Texas. The probability that at least one of the employees works at the plant in Texas is 0.993.What is the probability that at least one of the employees works at the plant in Texas?For this problem, we can use the Complementary Probability method, which means the probability of an event occurring is equal to 1 minus the probability of the event not occurring. Let's use this method below. Number of employees in Texas plant = 40Number of employees in Hawaii plant = 20Total number of employees = 40 + 20 = 60Let A be the event that at least one of the employees works at the Texas plant.Then the event that none of the employees work at the Texas plant is: A' (A complement). To find the probability that at least one employee works at the Texas plant, we'll find the probability that none of the employees work at the Texas plant, which is easier to calculate. Then, we'll subtract that probability from 1. The probability that the first employee does not work at the Texas plant is:60 employees in total, 40 of them are in Texas plant.So the probability that the first employee does not work at the Texas plant is: 20/60 = 1/3. As we have already picked one employee, there are now only 59 employees left, of which 39 are in the Texas plant. Therefore, the probability that the second employee does not work at the Texas plant is: 20/59. Similarly, the probability that the third employee does not work at the Texas plant is: 19/58. Continuing this pattern, we get the probability that none of the employees work at the Texas plant as: 1/3 * 20/59 * 19/58 * 18/57 * 17/56 * 16/55 * 15/54 * 14/53 * 13/52 * 12/51 * 11/50 ≈ 0.007. Hence, the probability that at least one employee works at the Texas plant is: 1 - 0.007 ≈ 0.993. Therefore, the probability that at least one of the employees works at the plant in Texas is 0.993.
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what is (9×10⁶) + (1.8×10⁴)
Answer:
9018000
Step-by-step explanation:
So you need to do the exponents first because they're in the parenthesis.
10^6 = 1000000
10^4 = 10000
Now your equation should look like (9 x 1000000) + (1.8 x 10000)
Now you just simplify the equation.
(9 x 1000000) + (1.8 x 10000) = 9018000
Answer:
9,018,000
Step-by-step explanation:
Find an equation for the tangent line to the graph of the following equation at the specified point. y + ry! - 52*y. (x,y) = (1,2)
The equation for the tangent line to the graph of y + ry! - 52*y at (1,2) is y = 3x - 1. The tangent line has a slope of 3 and passes through the point (1,2).
To find the equation of the tangent line, we need to calculate the derivative of the given equation.
Taking the derivative of y + ry! - 52*y with respect to x, we get dy/dx + ry! - 52(dy/dx). Evaluating this at the point (1,2), we find dy/dx = 3. Now, we can use the point-slope form of a linear equation, y - y1 = m(x - x1), where m represents the slope.
Substituting the values of the point (1,2) and the slope m = 3, we get y = 3x - 1 as the equation for the tangent line.
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III. Find all the factors - given one factor.
4. (2x³+3x² - 65x+84); x-4
Answer:
(x-4)(2x-3)(x+7)
Step-by-step explanation:
f(x)=2x³+3x²-65x+84
f(x)=(x-4)(2x²+kx-21)
(x-4)(2x²+kx-21)=2x³+3x²-65x+84
2x³+kx²-21x-8x²-4kx+84=2x³+3x²-65x+84
2x³+(k-8)x²+(-21-4k)x+84=2x³+3x²-65x+84
k-8=3 ∧ -21-4k=-65
k=11 ∧ -4k=-44
k=11 ∧ k=11
f(x)=(x-4)(2x²+11x-21)
1)
2*(-21)=-42
42=2*21=3*14=6*7
-3+14=11
2x²-3x+14x-21=x(2x-3)+7(2x-3)=(2x-3)(x+7)
f(x)=(x-4)(x+7)(2x-3)
or 2)
f(x)=(x-4)(2x²+11x-21)
2x²+11x-21=0
Δ=b²-4ac
b=11 a=2 c=-21
Δ=11²-4*2*(-21)
Δ=289
√Δ=17
x=(-b-√Δ)/2a ∨ x=(-b+√Δ)/2a
x=(-11-17)/2*2 ∨ x=(-11+17)/2*2
x=-7 ∨ x=3/2
x+7=0 ∨ x-3/2=0 *2
x+7=0 ∨ 2x-3=0
(x+7)(2x-3)=0
f(x)=(x-4)(x+7)(2x-3)
Rewrite the weird fraction (4/10)
We will have the following:
\(\frac{4}{10}=\frac{2}{5}\)Mr. Nguyen opened a savings account with an initial deposit of $480 and will not make any additional deposits or withdrawals. The account earns 2% simple interest. What is the total amount that Mr. Nguyen will have in his account at the end of 3 years?
A $28.80
B $2,880.00
C $508.80
D $768.00
Answer:
c
Step-by-step explanation:
What is the correct length of the side Bc? Round to the nearest tenth and only type in one number.
Answer:
Step-by-step explanation:
I would suspect you want to know what's wrong with the work.
AC is the hypotenuse. c = AC.
It should be done this way.
c = 6 in
b = 15 in
a = ?
a^2 + c^2 = b^2
a^2 + 6^2 = 15^2
a^2 + 36 = 225
a^2 = 225 - 36
a^2 = 189
sqrt(a^2) = sqrt(189)
a = 13.75
The midpoint of the line segment from P1 to P2 is (-5,3). If P1 = (-7,4), what is P2?
P₂ = (-3, 10)
Explanation:The midpoint, (a, b) = (-5, 3)
The starting point, P₁ = (x₁, y₁) = (-7, 4)
Let P₂ = (x₂, y₂)
The formulae for the coordinates of the midpoint are:
\(\begin{gathered} a=\frac{x_1+x_2}{2} \\ b=\frac{y_1+y_2}{2} \end{gathered}\)To solve for x₂, substitute a = -5, x₁ = -7 into the formula
\(\begin{gathered} -5=\frac{-7+x_2}{2} \\ -5(2)=-7+x_2 \\ -10=-7+x_2 \\ x_2=-10+7 \\ x_2=-3 \end{gathered}\)To solve for y₂, substitute b = 3, y₁ = -4 into the formula
\(\begin{gathered} b=\frac{y_1+y_2}{2} \\ 3=\frac{-4+y_2}{2} \\ 2(3)=-4+y_2 \\ 6=-4+y_2 \\ y_2=6+4 \\ y_2=10 \\ \end{gathered}\)Therefore, P₂ = (-3, 10)
Find the sum of the Arithmetic series
2+5+8+............20th term
A base is labeled on the triangle below.
Which line segment shows the height that corresponds to the given base of the triangle?
Answer: its B on khan academy
Step-by-step explanation: got it wrong and seen the right answer
I need help guys now na po
Answer:
Ano grade na po ba kayo di ko po kasi nakita yan ehhhh
A dragon can fly 50 feet in 2. Second. About how far can adragon fly in 11 secs
Answer:
275
Step-by-step explanation:
what is this x + y = 7 and x − y = −3
Answer:
x = 2, y = 5
Step-by-step explanation:
Answer:
math equation
Step-by-step explanation:
Pierre deposits $8,000 in a certificate of deposit that pays 8% interest, compounded semiannually. How much interest does the account earn in the first six months? What is the balance after six months? two answers and show work and write the answers out
Is the number that is farther from 0 always the greater nember
Answer:
No, not always. Yes in some cases, like 100 is greater than 0. But -100 is less than zero. So it depends on the number.
Step-by-step explanation:
Answer:
no because any number multiplied by zero is zero
in a game, you have 1/42 a probability of winning $67 and a 41/42 probability of losing $7. what is your expected value?
The expected value in the game of mentioned probability is $-5.26.
Expected value can be calculated by the formula -
Expected value = (probability × winning amount) + (probability × (- losing amount))
Keep the values in formula to find the expected value -
Expected value = (1/42 × 67) + (41/42 × -7)
Performing multiplication in the brackets on Right Hand Side of the equation
Expected value = 1.57 - 6.83
Performing subtraction on Right Hand Side
Expected value = $-5.26
Hence, the expected value is $-5.26.
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How can we find that when a system of two equations, two unknowns has Infinite Solutions. I want a solution with matrix. I know this method (which is not with matrix):
Step-by-step explanation:
To determine if a system of two equations with two unknowns has infinite solutions using matrices, you can perform Gaussian elimination or row reduction on the augmented matrix of the system. If the reduced form of the matrix is the identity matrix, then the system has a unique solution. If the reduced form is a row of zeros except for the last column, then the system has no solution. If the reduced form has a row with all zeros except for the last column being non-zero, then the system has an infinite number of solutions.
In other words, the system has infinite solutions if the row reduced form of the augmented matrix has a row of the form [0 0 c], where c is a non-zero scalar. This means that there is a non-trivial solution that satisfies the equation, indicating that there are infinitely many solutions.
Alan has $115.78 in his savings account. He earns $15.00 cleaning out
the garage and puts $7.50 into savings. He withdrawals $35.90 to buy
a video game. He receives $20 from his grandfather and deposits $15
of it into his savings account. What is Alan's balance now?
Answer:
$137.33
Step-by-step explanation:
$115.78 + $15.00 = $130.78
$130.78 + $7.50 = $138.28
$138.28 - $35.90 = $102.33
$102.33 + $20.00 = $122.33
$122.33 + $15.00 = $137.33
Chow,...!
The sum of the ages of mr a and mr z is 65 years. the difference of their ages is 7 years.what are their ages
Answer:
29, and 36
Step-by-step explanation:
65-7= 58
58/2= 29
29+7= 36
Answer:
29 and 36
Step-by-step explanation:
65 split in two since there are 2 people is 32.5
Since there is a 7 year difference, split 7 in half also which is 3.5
Subtract 3.5 from 32.5 to get the younger ones age and and add 3.5 to 32.5 to get the older one's age.
32.5-3.5= 29
32.5+3.5= 36
Work out, giving your answer in its simplest form:
4/7 / 2 1/3
Answer:
4
Step-by-step explanation:
4/7 × 21÷3
4/7×7
=4
this is the answer ....thank you
Set up equation and solve for x!
25x = 24X+4
Answer:
x = 4
Step-by-step explanation:
the 2 given angles are corresponding angles and are congruent , then
25x = 24x + 4 ( subtract 24x from both sides )
x = 4
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Trinity has 20 quarters and nickels worth a total of $2.00. How many of each coin does she Include introductory statements as well as a concluding statement.
Answer:
We know that Trinity has a total of 20 quarters and nickels, so:
x + y = 20
We also know that the value of x quarters is 25x cents, and the value of y nickels is 5y cents. The total value of the coins is $2.00, which is 200 cents:
25x + 5y = 200
We now have two equations with two variables. We can solve for one variable in terms of the other in one of the equations and substitute that expression into the other equation.
Let's solve for y in terms of x in the first equation:
y = 20 - x
Substitute this expression for y into the second equation:
25x + 5(20 - x) = 200
Simplify and solve for x:
25x + 100 - 5x = 200
20x + 100 = 200
20x = 100
x = 5
Now that we know x = 5, we can use the first equation to find y:
x + y = 20
5 + y = 20
y = 15
Therefore, Trinity has 5 quarters and 15 nickels.
Step-by-step explanation:
If 16* = find the value of x. 1 64 7
Answer:it's 16 or 4 I can't confirm
Step-by-step explanation: